102012877440 has 256 divisors, whose sum is σ = 365761065600. Its totient is φ = 27203060736.

The previous prime is 102012877423. The next prime is 102012877471. The reversal of 102012877440 is 44778210201.

102012877440 is a `hidden beast` number, since 1 + 0 + 20 + 128 + 77 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102012877395 and 102012877404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1363239 + ... + 1436121.

Almost surely, 2^102012877440 is an apocalyptic number.

102012877440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880532800).

102012877440 is an abundant number, since it is smaller than the sum of its proper divisors (263748188160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102012877440 is an frugal number, since it uses more digits than its factorization.

102012877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72923 (or 72893 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 102012877440 in words is "one hundred two billion, twelve million, eight hundred seventy-seven thousand, four hundred forty".